What is the Greatest Common Factor of 20589 and 20606?

Greatest common factor (GCF) of 20589 and 20606 is 1.

GCF(20589,20606) = 1

We will now calculate the prime factors of 20589 and 20606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20589 and 20606.

How to find the GCF of 20589 and 20606?

We will first find the prime factorization of 20589 and 20606. After we will calculate the factors of 20589 and 20606 and find the biggest common factor number .

Step-1: Prime Factorization of 20589

Prime factors of 20589 are 3, 6863. Prime factorization of 20589 in exponential form is:

20589 = 3¹ × 6863¹

Step-2: Prime Factorization of 20606

Prime factors of 20606 are 2, 10303. Prime factorization of 20606 in exponential form is:

20606 = 2¹ × 10303¹

Step-3: Factors of 20589

List of positive integer factors of 20589 that divides 20589 without a remainder.

1, 3, 6863

Step-4: Factors of 20606

List of positive integer factors of 20606 that divides 20589 without a remainder.

1, 2, 10303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20589 and 20606. The biggest common factor number is the GCF number.
So the greatest common factor 20589 and 20606 is 1.

Also check out the Least Common Multiple of 20589 and 20606